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Number of (n+1)X(7+1) 0..1 arrays with every 2X2 subblock diagonal maximum minus antidiagonal maximum nondecreasing horizontally, vertically and ne-to-sw antidiagonally
1

%I #4 Dec 30 2014 14:42:23

%S 6740,263920,8338384,294030700,9895936900,340810754556,11626813328444,

%T 398491692466316,13631934723486700,466761645200764492,

%U 15976114687899288396,546922778184182100684,18721874331340866356044

%N Number of (n+1)X(7+1) 0..1 arrays with every 2X2 subblock diagonal maximum minus antidiagonal maximum nondecreasing horizontally, vertically and ne-to-sw antidiagonally

%C Column 7 of A253350

%H R. H. Hardin, <a href="/A253349/b253349.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A253349/a253349.txt">Empirical recurrence of order 84</a>

%F Empirical recurrence of order 84 (see link above)

%e Some solutions for n=1

%e ..0..1..1..1..0..0..0..1....1..1..0..0..1..1..1..1....1..1..0..0..1..1..1..0

%e ..1..0..1..1..1..1..1..1....0..1..0..0..1..1..0..1....1..1..1..1..1..1..0..1

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 30 2014